2883085920 has 576 divisors, whose sum is σ = 11953267200. Its totient is φ = 643368960.

The previous prime is 2883085873. The next prime is 2883085939. The reversal of 2883085920 is 295803882.

2883085920 is a `hidden beast` number, since 28 + 8 + 30 + 8 + 592 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8030701 + ... + 8031059.

It is an arithmetic number, because the mean of its divisors is an integer number (20752200).

Almost surely, 2^2883085920 is an apocalyptic number.

2883085920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2883085920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5976633600).

2883085920 is an abundant number, since it is smaller than the sum of its proper divisors (9070181280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2883085920 is a wasteful number, since it uses less digits than its factorization.

2883085920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 2883085920 is about 53694.3751244020. The cubic root of 2883085920 is about 1423.2653018957.

The spelling of 2883085920 in words is "two billion, eight hundred eighty-three million, eighty-five thousand, nine hundred twenty".